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166373497748520 = 233256167733154267
BaseRepresentation
bin100101110101000011011001…
…001110111011110000101000
3210211002011002010011002201100
4211311003121032323300220
5133301330410410423040
61345502532453121400
750021042241235656
oct4565033116736050
9724064063132640
10166373497748520
1149014671149257
12167b036b929260
1371aac51b5903a
142d1273d825dd6
151437b531deb30
hex9750d93bbc28

166373497748520 has 384 divisors, whose sum is σ = 558545263136640. Its totient is φ = 42928698193920.

The previous prime is 166373497748509. The next prime is 166373497748527. The reversal of 166373497748520 is 25847794373661.

166373497748520 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 7 + 3 + 4 + 97 + 7 + 4 + 8 + 520 = 666.

166373497748520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (166373497748527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1078400427 + ... + 1078554693.

It is an arithmetic number, because the mean of its divisors is an integer number (1454544956085).

It is a 1-persistent number, because it is pandigital, but 2⋅166373497748520 = 332746995497040 is not.

Almost surely, 2166373497748520 is an apocalyptic number.

166373497748520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166373497748520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279272631568320).

166373497748520 is an abundant number, since it is smaller than the sum of its proper divisors (392171765388120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166373497748520 is a wasteful number, since it uses less digits than its factorization.

166373497748520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155145 (or 155138 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 166373497748520 in words is "one hundred sixty-six trillion, three hundred seventy-three billion, four hundred ninety-seven million, seven hundred forty-eight thousand, five hundred twenty".